Theoretically: yes. In practice you'll need an X11 environment (obviously ) and some experiments... Perhaps echo the required command to the child terminal in the create command of said terminal. (bit of C++ programming perhaps?)

DESCRIPTION
Screen is a full-screen window manager that multiplexes a physical ter‐
minal between several processes (typically interactive shells). Each
virtual terminal provides the functions of a DEC VT100 terminal and, in
addition, several control functions from the ISO 6429 (ECMA 48, ANSI
X3.64) and ISO 2022 standards (e.g. insert/delete line and support for
multiple character sets). There is a scrollback history buffer for
each virtual terminal and a copy-and-paste mechanism that allows moving
text regions between windows.
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Gordon, many thanks almost exactly what I want except on exiting the child script the xterm terminal closes down. I want it to remain open and manually close it done when I am actually finished with it...